108年 - 109東吳大學_碩士班招生考試_企業管理學系B 組：統計學#108288

科目：研究所、轉學考(插大)◆統計學 | 年份：108年 | 選擇題數：12 | 申論題數：9

試卷資訊

所屬科目：研究所、轉學考(插大)◆統計學

選擇題 (12)

1). At the .01 significance level, is there a difference in the mean number of times men and women in a day? What is the test statistic for this hypothesis? (A) z-statistic(B) t-statistic (C) p-statistic (D) df-statistic

2). At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the value of the test statistic for this hypothesis test? (A) 2.668 (B) 2.672 (C) 4.80 (D) 2.40

3). At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? (A) Reject the null hypothesis and conclude the means are different. (B) Reject the null hypothesis and conclude the means are the same. (C) Fail to reject the null hypothesis and conclude the means are the same. (D) Fail to reject the null hypothesis and conclude the means are different.

1). Referring to Table 1, to test for the significance of the coefficient on aggregate price index, the value of the relevant t-statistic is (A) 2.365. (B) 0.143. (C) -0.214. (D) -1.960.

2). Referring to Table 1, the p-value for GDP is (A) 0.05. (B) 0.01. (C) 0.001. (D) None of the above.

3). Referring to Table 1, the p-value for the aggregated price index is (A) 0.05. (B) 0.01. (C) 0.001. (D) None of the above.

4). Referring to Table 1, the p-value for the regression model as a whole is (A) 0.05. (B) 0.01. (C) 0.0001. (D) None of the above.

5). Referring to Table 1, what is the predicted consumption level for an economy with GDP equal to $4 billion and an aggregate price index of 150? (A) $1.39 billion (B) $2.89 billion (C) $4.75 billion (D) $9.45 billion

6). Referring to Table 1, one economy in the sample had an aggregate consumption level of $3 billion, a GDP of $3.5 billion, and an aggregate price level of 125. What is the residual for this data point? (A) $2.52 billion (B) $0.48 billion (C) - $1.33 billion (D) - $2.52 billion

1). Referring to Table 2, the total degrees of freedom is (A) 3 (B) 4 (C) 16 (D) 19

2). Referring to Table 2, the among-group (between-group) mean squares is (A) 8.525 (B) 70.8 (C) 212.4 (D) 637.2

3). Referring to Table 2, at a significance level of 1%, (A) there is insufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same. (B) there is insufficient evidence to conclude that the mean number of customers bumped by the 4 packages are all the same. (C) there is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same. (D) there is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are all the same.

申論題 (9)

1. 請敘述貝氏定理(Bayes’ theorem)之概念。(10 分)

2. 請敘述中央極限定理(the central limit theorem)之概念。(10 分)

3. 請敘述型一誤差(Type I error)及型二誤差(Type II error)之概念。(10 分)

(一) Binomial Probability Distribution(二項分配)近似 Hypergeometric Probability (超幾何分配)。

(二) Poisson Probability Distribution 可用來推估 Binomial Probability Distribution(二項分配)。

(三) Binomial Probability Distribution(二項分配)近似 Normal Probability Distribution(常態分配)。

(四) t 分配非常近似 Z 分配(標準常態分配)。

5. 請敘述母體平均數(μ)的 95%信賴區間(Confidence Interval)之概念。 (8 分)

6. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many students would need to be sampled? (6 分)